Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696co |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-3427824615063552 = -1 · 215 · 310 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,33396,-1554608] |
[a1,a2,a3,a4,a6] |
Generators |
[66:968:1] |
Generators of the group modulo torsion |
j |
97336/81 |
j-invariant |
L |
5.5326072636063 |
L(r)(E,1)/r! |
Ω |
0.24644821469205 |
Real period |
R |
1.4030856517027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001539 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696cl3 34848cg2 23232ch3 576b4 |
Quadratic twists by: -4 8 -3 -11 |